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2 years ago

7. The minimum distance between two fence posts is 4 feet. The maximum distance is 10 feet. Write an

1 answer:

4 0

In the attached image you can find both quantities in a line 4 being less than 10. To have the absolute value equation we note that 7 is equidistant 3 units from 4 and 10 or another way to figure this out is 4+10/2=7 therefore the equation can be written as |d-7|=3

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Jenny wants to rent a truck. She contacts two truck companies. Avis truck company charges $20 plus $2 per mile. Budget truck com

Aloiza [94]

Answer: 20 miles

Step-by-step explanation:

From the question, we are informed that Avis truck company charges $20 plus $2 per mile and that Budget truck company charges $3 per mile.

Let the number of miles that the charge will be the same for both companies be represented by x. This can then be used to form an equation as:

20 + 2x = (3 × x)

20 + 2x = 3x

3x - 2x = 20

x = 20

The charge will be thesame at 20 miles

6 0

3 years ago

Which number below is a prime number?<br> O A. 18<br> O B. 12<br> O c. 17<br> O D. 28

gladu [14]

Answer: 17 is the only prime number

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the point (3.-1) and has a slope of 2?

Igoryamba

Answer:

y = 2x - 7

Step-by-step explanation:

Use desmos easy and you understand how graphs work

3 0

2 years ago

in a card game,each player is dealt 5 cards.Make a table to show the total number of cards dealt for each number of players from

DENIUS [597]

So since each player is dealt 5 cards
ratio of cards per player is 5:1

so if 3 players
5 times 3=15 cards

4 players=4 times 5=20 cards

5 players=5 times 5=25 cards

6 players=6 times 5=30 cards

ratio of cards per player is 5:1

5 0

3 years ago

Read 2 more answers

The mathematics section of a standardized college entrance exam had a mean of 19.8 and an SD of 5.1 for a recent year. Assume th

Fudgin [204]

Answer:

a) 0.84% of students scored over 32

b) 29.12% of students scored under 17

c) 70.04% of students scored between 17 and 32.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 19.8, \sigma = 5.1$

a) About what percent of students scored over 32?

This is 1 subtracted by the pvalue of Z when X = 32. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{32 - 19.8}{5.1}$

$Z = 2.39$

$Z = 2.39$ has a pvalue of 0.9916

1 - 0.9916 = 0.0084

So 0.84% of students scored over 32

b) About what percent of students scored under 17?

This is the pvalue of Z when X = 17. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{17 - 19.8}{5.1}$

$Z = -0.55$

$Z = -0.55$ has a pvalue of 0.2912

So 29.12% of students scored under 17

c) About what percent of students scored between 17 and 32?

This is the pvalue of Z when X = 32 subtracted by the pvalue of Z when X = 12. So

X = 32

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{32 - 19.8}{5.1}$

$Z = 2.39$

$Z = 2.39$ has a pvalue of 0.9916

X = 17

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{17 - 19.8}{5.1}$

$Z = -0.55$

$Z = -0.55$ has a pvalue of 0.2912

0.9916 - 0.2912 = 0.7004

70.04% of students scored between 17 and 32.

5 0

3 years ago